Question

Two different dice are rolled together. The probability that both the obtained numbers are less than 4, is ______.

Options

• `2/9`

• `7/36`

• `1/4`

• `2/3`

Answer 1

Two different dice are rolled together. The probability that both the obtained numbers are less than 4, is `underlinebb(1/4)`.

Explanation:

Total outcomes when two dice are rolled = 6 × 6 = 36.

Numbers less than 4 on a single die are {1, 2, 3}.

Favourable outcomes where both numbers are less than 4:

(1, 1), (1, 2), (1, 3), (2, 1), (2, 2), (2, 3), (3, 1), (3, 2), (3, 3)

Number of favourable outcomes = 3 × 3 = 9

P(both numbers < 4) = `9/36 = 1/4`